Advertisements
Advertisements
Question
In rhombus ABCD;
(i) if ∠A = 74° ; find ∠B and ∠C.
(ii) if AD = 7.5 cm ; find BC and CD.
Solution
AD || BC
∠A + ∠B = 180°
74° + ∠B = 180°
∠B =180° – 74°= 106°
opposite angles of Rhombus are equal.
∠A = ∠C = 74°
Sides of Rhombus are equal.
BC = CD = AD = 7.5 cm
(i) ∠B = 106° ; ∠C = 74°
(ii) BC = 7.5 cm and CD = 7.5 cm
APPEARS IN
RELATED QUESTIONS
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.
Which of the following statement is true for a rhombus?
It has two pairs of parallel sides.
Which of the following statement is true for a rhombus?
Two of its angles are at right angles
If the diagonals of a rhombus are 12 cm and 16cm, find the length of each side.
ABCD is a rhombus and its diagonals intersect at O.
(i) Is ∆BOC ≅ ∆DOC? State the congruence condition used?
(ii) Also state, if ∠BCO = ∠DCO.
Show that each diagonal of a rhombus bisects the angle through which it passes.
Construct a rhombus CLUE in which CL = 7.5 cm and LE = 6 cm.